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Finding the Third Proportional to 7,946,089.50 and 16,976,107.50

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Solution

The third proportional to 7,946,089.50 and 16,976,107.50 is: 36,267,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,089.50 : 16,976,107.50 = 16,976,107.50 : x
  2. Step 2: Convert to fraction form
    7,946,089.50/16,976,107.50 = 16,976,107.50/x
  3. Step 3: Cross multiply
    7,946,089.50x = 16,976,107.50 × 16,976,107.50
  4. Step 4: Simplify right side
    7,946,089.50x = 288,188,225,851,556.25
  5. Step 5: Solve for x
    x = 288,188,225,851,556.25/7,946,089.50
  6. Step 6: Final answer
    x = 36,267,931.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.